# NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4

Ex 5.4 Class 10 Maths Question 1.
Which term of the AP: 121, 117. 113, ….., is its first negative term?

Ex 5.4 Class 10 Maths Question 2.
The sum of the third term and the seventh term of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP?

Ex 5.4 Class 10 Maths Question 3.
A ladder has rungs 25 cm apart. The rungs decrease uniformly in length from 45 cm at the bottom to 25 at the top. If the top

and the bottom rungs are  apart, what is the length of the wood required for the rungs?

Ex 5.4 Class 10 Maths Question 4.
The houses of a row are numbered consecutively from 1 to 49. Show that there is value of x such that the sum of the numbers of the houses preceding the house numbered x is equal to the sum of the numbers of the houses following it. Find this value of x.

Ex 5.4 Class 10 Maths Question 5.
A small terrace at a football ground comprises of 15 steps each of which is 50  m long and built of solid concrete. Each step has a rise of and a tread of  Calculate the total volume of concrete required to build the terrace.